savannahwhay savannahwhay
  • 19-05-2021
  • Mathematics
contestada

Find the volume of a cone with a height of 9 inches in a radius of 6 inches use pi do not round your answer

Respuesta :

theleangreenbean
theleangreenbean theleangreenbean
  • 19-05-2021

Answer:

[tex]108\pi[/tex] inches³

Step-by-step explanation:

Hi there!

[tex]V=\frac{1}{3} \pi r^2h[/tex] where r is the radius and h is the height

Plug in the given values (r=6, h=9)

[tex]V=\frac{1}{3} \pi (6)^2(9)\\V=\frac{1}{3} \pi (36)(9)\\V=\frac{1}{3} \pi (324)\\V=108\pi[/tex]

Therefore, the volume of the cone is [tex]108\pi[/tex] inches³.

I hope this helps!

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